ARR Formula:
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Absolute Risk Reduction (ARR) is the difference in event rates between control and treatment groups in clinical trials. It represents the absolute benefit of a treatment compared to control.
The calculator uses the ARR approximation formula:
Where:
Explanation: This formula approximates the absolute risk reduction when given the control event rate and hazard ratio from survival analysis.
Details: ARR provides a clinically meaningful measure of treatment effect that is easier to interpret than relative measures like hazard ratio. It helps in calculating Number Needed to Treat (NNT).
Tips: Enter control event rate as a proportion (0-1), hazard ratio as a positive number. CER must be between 0 and 1, HR should be ≥0.
Q1: What is the difference between ARR and RRR?
A: ARR is the absolute difference in event rates, while RRR (Relative Risk Reduction) is the proportional reduction relative to control group risk.
Q2: How is ARR related to NNT?
A: Number Needed to Treat (NNT) = 1/ARR. It represents how many patients need to be treated to prevent one additional bad outcome.
Q3: When is this approximation most accurate?
A: This approximation works best when event rates are low and follow-up times are similar between groups.
Q4: What are typical ARR values in clinical trials?
A: ARR values vary widely by condition and treatment. Values of 0.01-0.10 are common, with higher values indicating more effective treatments.
Q5: Can ARR be negative?
A: Yes, negative ARR indicates the treatment is harmful compared to control (increased risk of the outcome).